write the following ratio in simplest form:-
1) 1/6:1/8:1/12
2) 3/2:3:9/2
3) 0.05:1/2:4
4) 3/2:1/3:1
1/6:1/8:1/12
LCM of denominators 6, 8 and 12 is 24. Hence, multiply each term by 24.
The ratio becomes 4: 3: 2. HCF of numerators is 1. Hence, it is the simplest form of the ratio.
3/2:3:9/2
LCM of denominators 2, 1 and 2 is 2. Hence, multiply each term by 2.
The ratio becomes 3: 6: 9. HCF of numerators is 3. Hence, divide each term of the new ratio by 3.
Ratio in the simplest form = 1: 2: 3.
0.05:1/2:4
Can be rewritten as 5/100:1/2:4
LCM of denominators 100, 2 and 1 is 100. Hence, multiply each term by 100.
The ratio becomes 5: 50: 400. HCF of numerators is 5. Hence, divide each term of the new ratio by 5.
Ratio in the simplest form = 1: 10: 80.
3/2:1/3:1
LCM of denominators 2, 3 and 1 is 6. Hence, multiply each term by 6.
The ratio becomes 9: 2: 6. HCF of numerators is 1. Hence, it is the simplest form of the ratio.